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Das ideale Lehrbuch für einen einsemestrigen Kurs an technischen Hochschulen. Behandelt werden die Grundlagen der Quantenmechanik aus Anwendungssicht und dabei optoelektronische Geräte, biologische Sensoren und molekulare Imager sowie Solarzellen und Feldeffekt-Transistoren.
Auteur
Dae Mann Kim is Professor of Computational Sciences, Korea Institute for Advanced Study. A physicist by training (PhD in physics, Yale University) but an engineer by profession, Kim started his teaching career at Rice University before moving to Oregon Graduate Institute of Science and Technology and later to POSTECH (S. Korea). He has over 25 years experience teaching quantum mechanics to senior students from engineering, materials science and physics departments. Collaborating extensively with industrial labs over the years, Kim offered short courses to working engineers at Samsung and LG.
Professor Kim has served as the chair of the curriculum committee of the Korean Nano Technology Research Society. Kim has over 100 publications on the quantum theory of lasers, quantum electronics and micro and nano electronics. He is a Fellow of the Korean Academy of Science and Technology and has also served as Associate Editor of IEEE Transactions on Circuits and Systems Video Technology.
Résumé
This introductory textbook covers fundamental quantum mechanics from an application perspective, considering optoelectronic devices, biological sensors and molecular imagers as well as solar cells and field effect transistors.
The book provides a brief review of classical and statistical mechanics and electromagnetism, and then turns to the quantum treatment of atoms, molecules, and chemical bonds.
Aiming at senior undergraduate and graduate students in nanotechnology related areas like physics, materials science, and engineering, the book could be used at schools that offer interdisciplinary but focused training for future workers in the semiconductor industry and for the increasing number of related nanotechnology firms, and even practicing people could use it when they need to learn related concepts.
The author is Professor Dae Mann Kim from the Korea Institute for Advanced Study who has been teaching Quantum Mechanics to engineering, material science and physics students for over 25 years in USA and Asia.
Contenu
Preface XI
1 Review of Classical Theories 1
1.1 Harmonic Oscillator 1
1.2 Boltzmann Distribution Function 3
1.3 Maxwell's Equations and EMWaves 6
Suggested Readings 11
2 Milestones Leading to Quantum Mechanics 13
2.1 Blackbody Radiation and Quantum of Energy 13
2.2 Photoelectric Effect and Photon 14
2.3 Compton Scattering 16
2.4 de BroglieWavelength and Duality of Matter 17
2.5 Hydrogen Atom and Spectroscopy 18
Suggested Readings 22
3 SchrödingerWave Equation 23
3.1 Operator Algebra and Basic Postulates 23
3.2 Eigenequation, Eigenfuntion and Eigenvalue 24
3.3 Properties of Eigenfunctions 25
3.4 Commutation Relation and Conjugate Variables 27
3.5 Uncertainty Relation 29
Suggested Readings 31
4 Bound States in QuantumWell and Wire 33
4.1 Electrons in Solids 33
4.2 1D, 2D, and 3D Densities of States 35
4.3 Particle in QuantumWell 38
4.4 QuantumWell andWire 40
Suggested Readings 43
5 Scattering and Tunneling of 1D Particle 45
5.1 Scattering at the Step Potential 45
5.2 Scattering from a QuantumWell 48
5.3 Tunneling 50
5.3.1 Direct and FowlerNordheim Tunneling 52
5.3.2 Resonant Tunneling 53
5.4 The Applications of Tunneling 56
5.4.1 Metrology and Display 57
5.4.2 Single-Electron Transistor 58
Suggested Readings 61
6 Energy Bands in Solids 63
6.1 BlochWavefunction in KronigPenney Potential 63
6.2 Ek Dispersion and Energy Bands 67
6.3 The Motion of Electrons in Energy Bands 70
6.4 Energy Bands and Resonant Tunneling 71
Suggested Readings 74
7 The Quantum Treatment of Harmonic Oscillator 75
7.1 Energy Eigenfunction and Energy Quantization 75
7.2 The Properties of Eigenfunctions 78
7.3 HO in Linearly Superposed State 81
7.4 The Operator Treatment of HO 83
7.4.1 Creation and Annihilation Operators and Phonons 84
Suggested Readings 86
8 Schrödinger Treatment of Hydrogen Atom 87
8.1 Angular Momentum Operators 87
8.2 Spherical Harmonics and Spatial Quantization 90
8.3 The H-Atom and ElectronProton Interaction 93
8.3.1 Atomic Radius and the Energy Eigenfunction 97
8.3.2 Eigenfunction and Atomic Orbital 98
8.3.3 Doppler Shift 100
Suggested Readings 104
9 The Perturbation Theory 105
9.1 Time-Independent Perturbation Theory 105
9.1.1 Stark Effect in H-Atom 110
9.2 Time-Dependent Perturbation Theory 111
9.2.1 Fermi's Golden Rule 113
Suggested Readings 116
10 System of Identical Particles and Electron Spin 117
10.1 Electron Spin 117
10.1.1 Pauli Spin Matrices 118
10.2 Two-Electron System 118
10.2.1 Helium Atom 120
10.2.2 Multi-Electron Atoms and Periodic Table 124
10.3 Interaction of Electron Spin with Magnetic Field 126
10.3.1 SpinOrbit Coupling and Fine Structure 127
10.3.2 Zeeman Effect 129
10.4 Electron Paramagnetic Resonance 131
Suggested Readings 135
11 Molecules and Chemical Bonds 137
11.1 Ionized Hydrogen Molecule 137
11.2 H2 Molecule and Heitler-LondonTheory 141
11.3 Ionic Bond 144
11.4 van derWaals Attraction 146
11.5 Polyatomic Molecules and Hybridized Orbitals 148
Suggested Readings 150
12 Molecular Spectra 151
12.1 Theoretical Background 151
12.2 Rotational and Vibrational Spectra of Diatomic Molecule 154
12.3 Nuclear Spin and Hyperfine Interaction 158 12.4 Nuclear Magnetic Resonance (NMR)...